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Finding the Fourth Proportional to 605.68, 835.62 and 343.54

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Solution

The fourth proportional to 605.68, 835.62 and 343.54 is: 473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.68 : 835.62 = 343.54 : x
  2. Step 2: Convert to fraction form
    605.68/835.62 = 343.54/x
  3. Step 3: Cross multiply
    605.68x = 835.62 × 343.54
  4. Step 4: Simplify right side
    605.68x = 287,068.65
  5. Step 5: Solve for x
    x = 287,068.65/605.68
  6. Step 6: Final answer
    x = 473.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.